What is the Greatest Common Factor of 37867 and 37885?

Greatest common factor (GCF) of 37867 and 37885 is 1.

GCF(37867,37885) = 1

We will now calculate the prime factors of 37867 and 37885, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37867 and 37885.

How to find the GCF of 37867 and 37885?

We will first find the prime factorization of 37867 and 37885. After we will calculate the factors of 37867 and 37885 and find the biggest common factor number .

Step-1: Prime Factorization of 37867

Prime factors of 37867 are 19, 1993. Prime factorization of 37867 in exponential form is:

37867 = 19¹ × 1993¹

Step-2: Prime Factorization of 37885

Prime factors of 37885 are 5, 7577. Prime factorization of 37885 in exponential form is:

37885 = 5¹ × 7577¹

Step-3: Factors of 37867

List of positive integer factors of 37867 that divides 37867 without a remainder.

1, 19, 1993

Step-4: Factors of 37885

List of positive integer factors of 37885 that divides 37867 without a remainder.

1, 5, 7577

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37867 and 37885. The biggest common factor number is the GCF number.
So the greatest common factor 37867 and 37885 is 1.

Also check out the Least Common Multiple of 37867 and 37885